Details

Time bar (total: 1.8s)

analyze160.0ms (8.8%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
0%0%74.9%0.1%0%25%0%4
11.1%6.2%50%0.1%0%43.7%0%5
20%9.4%37.5%0.1%0%53.1%0%6
33.3%12.5%25%0.1%1.6%60.9%0%7
44.2%14.8%18.7%0.1%1.6%64.8%0%8
57.3%16.8%12.5%0.1%2.3%68.3%0%9
66%18.1%9.4%0.1%2.3%70%0%10
75.5%19.2%6.2%0.1%2.7%71.7%0%11
81%20%4.7%0.1%2.7%72.5%0%12
Compiler

Compiled 9 to 7 computations (22.2% saved)

sample1.4s (78.5%)

Results
1.2s8256×body256valid
222.0ms850×body256invalid
18.0ms160×body256infinite
Bogosity

preprocess3.0ms (0.2%)

Algorithm
2×egg-herbie
Rules
2×swap-a-b
2×rational.json-simplify-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01138
11138
022
122
Stop Event
1×unsound
1×saturated
Calls
Call 1
Inputs
0
1
Outputs
0
1
0
Call 2
Inputs
(exp.f64 (+.f64 (log.f64 a) (log.f64 b)))
(exp.f64 (+.f64 (log.f64 b) (log.f64 a)))
Outputs
(exp.f64 (+.f64 (log.f64 a) (log.f64 b)))
(exp.f64 (+.f64 (log.f64 b) (log.f64 a)))
(exp.f64 (+.f64 (log.f64 a) (log.f64 b)))
Symmetry

(sort a b)

Compiler

Compiled 10 to 8 computations (20% saved)

simplify26.0ms (1.4%)

Algorithm
1×egg-herbie
Rules
2×rational.json-simplify-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0919
11019
Stop Event
1×saturated
Counts
1 → 1
Calls
Call 1
Inputs
(exp.f64 (+.f64 (log.f64 a) (log.f64 b)))
Outputs
(exp.f64 (+.f64 (log.f64 a) (log.f64 b)))

eval0.0ms (0%)

Compiler

Compiled 8 to 6 computations (25% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
5.8b
Counts
2 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶5.8b
(exp.f64 (+.f64 (log.f64 a) (log.f64 b)))
Compiler

Compiled 8 to 6 computations (25% saved)

localize9.0ms (0.5%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.7b
(+.f64 (log.f64 a) (log.f64 b))
✓4.7b
(exp.f64 (+.f64 (log.f64 a) (log.f64 b)))
Compiler

Compiled 19 to 6 computations (68.4% saved)

series135.0ms (7.4%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
66.0ms
a
@0
(exp.f64 (+.f64 (log.f64 a) (log.f64 b)))
40.0ms
b
@0
(exp.f64 (+.f64 (log.f64 a) (log.f64 b)))
9.0ms
a
@-inf
(exp.f64 (+.f64 (log.f64 a) (log.f64 b)))
6.0ms
b
@-inf
(exp.f64 (+.f64 (log.f64 a) (log.f64 b)))
6.0ms
b
@inf
(exp.f64 (+.f64 (log.f64 a) (log.f64 b)))

rewrite14.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
26×bool.json-1
24×rational.json-simplify-1
22×rational.json-1
22×rational.json-2
22×rational.json-simplify-2
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0934
14134
27134
37534
Stop Event
1×saturated
Counts
2 → 6
Calls
Call 1
Inputs
(exp.f64 (+.f64 (log.f64 a) (log.f64 b)))
(+.f64 (log.f64 a) (log.f64 b))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (+.f64 (log.f64 a) (log.f64 b))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (exp.f64 (+.f64 (log.f64 a) (log.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (+.f64 (log.f64 a) (log.f64 b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (exp.f64 (+.f64 (log.f64 a) (log.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x or (exp.f64 (+.f64 (log.f64 a) (log.f64 b))) (exp.f64 (+.f64 (log.f64 a) (log.f64 b))))))))
((#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (log.f64 a) (log.f64 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (log.f64 a) (log.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x or (+.f64 (log.f64 a) (log.f64 b)) (+.f64 (log.f64 a) (log.f64 b)))))))

simplify16.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
32×rational.json-simplify-1
12×rational.json-simplify-2
8×rational.json-simplify-33
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0431502
1571502
2651502
3691502
Stop Event
1×saturated
Counts
54 → 27
Calls
Call 1
Inputs
(exp.f64 (+.f64 (log.f64 b) (log.f64 a)))
(exp.f64 (+.f64 (log.f64 b) (log.f64 a)))
(exp.f64 (+.f64 (log.f64 b) (log.f64 a)))
(exp.f64 (+.f64 (log.f64 b) (log.f64 a)))
(exp.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 b)))
(exp.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 b)))
(exp.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 b)))
(exp.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 b)))
(exp.f64 (+.f64 (log.f64 b) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 a))))))
(exp.f64 (+.f64 (log.f64 b) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 a))))))
(exp.f64 (+.f64 (log.f64 b) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 a))))))
(exp.f64 (+.f64 (log.f64 b) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 a))))))
(exp.f64 (+.f64 (log.f64 b) (log.f64 a)))
(exp.f64 (+.f64 (log.f64 b) (log.f64 a)))
(exp.f64 (+.f64 (log.f64 b) (log.f64 a)))
(exp.f64 (+.f64 (log.f64 b) (log.f64 a)))
(exp.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (log.f64 a)))
(exp.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (log.f64 a)))
(exp.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (log.f64 a)))
(exp.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (log.f64 a)))
(exp.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (log.f64 -1) (log.f64 a))))
(exp.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (log.f64 -1) (log.f64 a))))
(exp.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (log.f64 -1) (log.f64 a))))
(exp.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (log.f64 -1) (log.f64 a))))
(+.f64 (log.f64 b) (log.f64 a))
(+.f64 (log.f64 b) (log.f64 a))
(+.f64 (log.f64 b) (log.f64 a))
(+.f64 (log.f64 b) (log.f64 a))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 b))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 b))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 b))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 b))
(+.f64 (log.f64 b) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 a)))))
(+.f64 (log.f64 b) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 a)))))
(+.f64 (log.f64 b) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 a)))))
(+.f64 (log.f64 b) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 a)))))
(+.f64 (log.f64 b) (log.f64 a))
(+.f64 (log.f64 b) (log.f64 a))
(+.f64 (log.f64 b) (log.f64 a))
(+.f64 (log.f64 b) (log.f64 a))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (log.f64 a))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (log.f64 a))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (log.f64 a))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (log.f64 a))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (log.f64 -1) (log.f64 a)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (log.f64 -1) (log.f64 a)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (log.f64 -1) (log.f64 a)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (log.f64 -1) (log.f64 a)))
(+.f64 (exp.f64 (+.f64 (log.f64 a) (log.f64 b))) 0)
(+.f64 0 (exp.f64 (+.f64 (log.f64 a) (log.f64 b))))
(*.f64 (exp.f64 (+.f64 (log.f64 a) (log.f64 b))) 1)
(*.f64 1 (exp.f64 (+.f64 (log.f64 a) (log.f64 b))))
(*.f64 (+.f64 (log.f64 a) (log.f64 b)) 1)
(*.f64 1 (+.f64 (log.f64 a) (log.f64 b)))
Outputs
(exp.f64 (+.f64 (log.f64 b) (log.f64 a)))
(exp.f64 (+.f64 (log.f64 b) (log.f64 a)))
(exp.f64 (+.f64 (log.f64 b) (log.f64 a)))
(exp.f64 (+.f64 (log.f64 b) (log.f64 a)))
(exp.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 b)))
(exp.f64 (+.f64 (log.f64 b) (*.f64 -1 (log.f64 (/.f64 1 a)))))
(exp.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 b)))
(exp.f64 (+.f64 (log.f64 b) (*.f64 -1 (log.f64 (/.f64 1 a)))))
(exp.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 b)))
(exp.f64 (+.f64 (log.f64 b) (*.f64 -1 (log.f64 (/.f64 1 a)))))
(exp.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 b)))
(exp.f64 (+.f64 (log.f64 b) (*.f64 -1 (log.f64 (/.f64 1 a)))))
(exp.f64 (+.f64 (log.f64 b) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 a))))))
(exp.f64 (+.f64 (log.f64 b) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 a))))))
(exp.f64 (+.f64 (log.f64 b) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 a))))))
(exp.f64 (+.f64 (log.f64 b) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 a))))))
(exp.f64 (+.f64 (log.f64 b) (log.f64 a)))
(exp.f64 (+.f64 (log.f64 b) (log.f64 a)))
(exp.f64 (+.f64 (log.f64 b) (log.f64 a)))
(exp.f64 (+.f64 (log.f64 b) (log.f64 a)))
(exp.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (log.f64 a)))
(exp.f64 (+.f64 (log.f64 a) (*.f64 -1 (log.f64 (/.f64 1 b)))))
(exp.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (log.f64 a)))
(exp.f64 (+.f64 (log.f64 a) (*.f64 -1 (log.f64 (/.f64 1 b)))))
(exp.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (log.f64 a)))
(exp.f64 (+.f64 (log.f64 a) (*.f64 -1 (log.f64 (/.f64 1 b)))))
(exp.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (log.f64 a)))
(exp.f64 (+.f64 (log.f64 a) (*.f64 -1 (log.f64 (/.f64 1 b)))))
(exp.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (log.f64 -1) (log.f64 a))))
(exp.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (log.f64 a) (log.f64 -1))))
(exp.f64 (+.f64 (log.f64 a) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 b))))))
(exp.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (log.f64 -1) (log.f64 a))))
(exp.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (log.f64 a) (log.f64 -1))))
(exp.f64 (+.f64 (log.f64 a) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 b))))))
(exp.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (log.f64 -1) (log.f64 a))))
(exp.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (log.f64 a) (log.f64 -1))))
(exp.f64 (+.f64 (log.f64 a) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 b))))))
(exp.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (log.f64 -1) (log.f64 a))))
(exp.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (log.f64 a) (log.f64 -1))))
(exp.f64 (+.f64 (log.f64 a) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 b))))))
(+.f64 (log.f64 b) (log.f64 a))
(+.f64 (log.f64 b) (log.f64 a))
(+.f64 (log.f64 b) (log.f64 a))
(+.f64 (log.f64 b) (log.f64 a))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 b))
(+.f64 (log.f64 b) (*.f64 -1 (log.f64 (/.f64 1 a))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 b))
(+.f64 (log.f64 b) (*.f64 -1 (log.f64 (/.f64 1 a))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 b))
(+.f64 (log.f64 b) (*.f64 -1 (log.f64 (/.f64 1 a))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 b))
(+.f64 (log.f64 b) (*.f64 -1 (log.f64 (/.f64 1 a))))
(+.f64 (log.f64 b) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 a)))))
(+.f64 (log.f64 b) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 a)))))
(+.f64 (log.f64 b) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 a)))))
(+.f64 (log.f64 b) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 a)))))
(+.f64 (log.f64 b) (log.f64 a))
(+.f64 (log.f64 b) (log.f64 a))
(+.f64 (log.f64 b) (log.f64 a))
(+.f64 (log.f64 b) (log.f64 a))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (log.f64 a))
(+.f64 (log.f64 a) (*.f64 -1 (log.f64 (/.f64 1 b))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (log.f64 a))
(+.f64 (log.f64 a) (*.f64 -1 (log.f64 (/.f64 1 b))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (log.f64 a))
(+.f64 (log.f64 a) (*.f64 -1 (log.f64 (/.f64 1 b))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (log.f64 a))
(+.f64 (log.f64 a) (*.f64 -1 (log.f64 (/.f64 1 b))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (log.f64 -1) (log.f64 a)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (log.f64 a) (log.f64 -1)))
(+.f64 (log.f64 a) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 b)))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (log.f64 -1) (log.f64 a)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (log.f64 a) (log.f64 -1)))
(+.f64 (log.f64 a) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 b)))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (log.f64 -1) (log.f64 a)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (log.f64 a) (log.f64 -1)))
(+.f64 (log.f64 a) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 b)))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (log.f64 -1) (log.f64 a)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (log.f64 a) (log.f64 -1)))
(+.f64 (log.f64 a) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 b)))))
(+.f64 (exp.f64 (+.f64 (log.f64 a) (log.f64 b))) 0)
(+.f64 (exp.f64 (+.f64 (log.f64 b) (log.f64 a))) 0)
(+.f64 0 (exp.f64 (+.f64 (log.f64 a) (log.f64 b))))
(+.f64 (exp.f64 (+.f64 (log.f64 b) (log.f64 a))) 0)
(*.f64 (exp.f64 (+.f64 (log.f64 a) (log.f64 b))) 1)
(*.f64 1 (exp.f64 (+.f64 (log.f64 b) (log.f64 a))))
(*.f64 1 (exp.f64 (+.f64 (log.f64 a) (log.f64 b))))
(*.f64 1 (exp.f64 (+.f64 (log.f64 b) (log.f64 a))))
(*.f64 (+.f64 (log.f64 a) (log.f64 b)) 1)
(*.f64 1 (+.f64 (log.f64 b) (log.f64 a)))
(*.f64 1 (+.f64 (log.f64 a) (log.f64 b)))
(*.f64 1 (+.f64 (log.f64 b) (log.f64 a)))

eval10.0ms (0.6%)

Compiler

Compiled 270 to 165 computations (38.9% saved)

prune3.0ms (0.2%)

Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New27027
Fresh000
Picked011
Done000
Total27128
Error
5.8b
Counts
28 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
✓5.8b
(exp.f64 (+.f64 (log.f64 a) (log.f64 b)))
Compiler

Compiled 16 to 12 computations (25% saved)

simplify1.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0919
Stop Event
1×done
1×saturated
Calls
Call 1
Inputs
(exp.f64 (+.f64 (log.f64 a) (log.f64 b)))
Outputs
(exp.f64 (+.f64 (log.f64 a) (log.f64 b)))
Compiler

Compiled 8 to 6 computations (25% saved)

soundness0.0ms (0%)

end13.0ms (0.7%)

Remove

(sort a b)

Compiler

Compiled 24 to 18 computations (25% saved)

Profiling

Loading profile data...